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Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Arclength

(dy s = f1 dx dx -b S= √√√1 + dx dx dy 2 S -t₂ Jt₁ (d)² + (dr) ² dx dt dt 2 s = 50² r² + + (ar) ² do de 1+ if y = f(x) if x = g(y) if y = f(t) and x = g(t) if r = f(0)
Transcribed Image Text:(dy s = f1 dx dx -b S= √√√1 + dx dx dy 2 S -t₂ Jt₁ (d)² + (dr) ² dx dt dt 2 s = 50² r² + + (ar) ² do de 1+ if y = f(x) if x = g(y) if y = f(t) and x = g(t) if r = f(0)
144. Identify the length of the curve 1x = y²+2y 8 -In(y + 1), for 0 ≤ y ≤ 2.
Transcribed Image Text:144. Identify the length of the curve 1x = y²+2y 8 -In(y + 1), for 0 ≤ y ≤ 2.
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